Title: A two-vehicle two-stage solid transportation problem with bi-fuzzy coefficients through genetic algorithm

Authors: Dipak Barman; Anjana Kuiri; Barun Das

Addresses: Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, India ' Department of Mathematics, Sidho-Kanho-Birsha University, Purulia, India

Abstract: This study deals a two-stage solid transportation problem where on in each stage and each path there are two different capacitated vehicles. As per the quantity of transportation, the larger and/or smaller capacitance vehicles are used. Moreover, the coefficients of the model are assumed bi-fuzzy in nature. The items are breakable in nature and to reduce the breakability rate of the item extra safety cost is introduced here. Finally, the model is justified through a numerical example by using evolutionary genetic algorithm. Also a statistical test illustrates and signifies the feasibility and validity of the proposed model and techniques with a high rate of probability.

Keywords: two-stage solid transportation problem; vehicle's capacity; bi-fuzzy; genetic algorithm; analysis of variance.

DOI: 10.1504/IJMOR.2021.114205

International Journal of Mathematics in Operational Research, 2021 Vol.18 No.4, pp.444 - 464

Received: 15 Nov 2018
Accepted: 31 Dec 2019
Published online: 13 Apr 2021 *

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